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Irina-Kira [14]
2 years ago
8

Find the midpoint between two points on a coordinate plane whose coordinates are (5.7) and (-3, 1).

Mathematics
1 answer:
jok3333 [9.3K]2 years ago
6 0

Answer:

(1,4)

Step-by-step explanation:

if~(x,y)~is~mid~point~of~(x_{1},y_{1})~and~ (x_{2},y_{2}~then\\x=\frac{x_{1}+x_{2}}{2} \\y=\frac{y_{1}+y_{2}}{2} \\x=\frac{5-3}{2} =\frac{2}{2}=1\\y=\frac{7+1}{2} =\frac{8}{2} =4

(x,y)→(1,4)

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Alik [6]

Here, we are required to find the equation, in terms of w, that could be used to find the dimensions of the storage unit in feet.

The polynomial is;. 3w³ + 22w + 24w = 5440ft³.

From the question;

  • <em>Let the width = w</em>
  • <em>length,</em><em> </em><em>l</em><em> = 3w + 4</em>
  • <em>height,</em><em> </em><em>h</em><em> = w + 6</em>

<em>The </em><em>volume </em><em>of </em><em>a </em><em>rectangular</em><em> </em><em>prism </em><em>is </em><em>given </em><em>by </em><em>the </em><em>product </em><em>of </em><em>its </em><em>length,</em><em> </em><em>width </em><em>and </em><em>height.</em><em> </em><em>Thus</em><em>;</em>

Volume = l × w × h

Therefore, Volume, V = (3w +4) × w × (w +6)

To obtain the required polynomial, we expand the expression for Volume above;

<em>V = (3w² + 4w) × (w + 6)</em>

<em>V = (3w² + 4w) × (w + 6)V = 3w³ + 22w² + 24w.</em>

However, the volume of the rectangular prism has been given to be 5440 cubic feet.

Therefore, the polynomial is;

3w³ + 22w + 24w = 5440ft³.

Read more:

brainly.com/question/9740998

8 0
1 year ago
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Explain the difference between evaluating 3 * 7 - 4 ÷ 2 and evaluating 3(7 - 4) ÷ 2.
Bogdan [553]
DIY. I believe in you, its just a matter if you believe in yourself. Your welcome
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2 years ago
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After simplifying, how many terms does the expression 4y-6+y2-9 contain?​
Alex73 [517]

Answer:

There are three terms in the simplified expression.

Step-by-step explanation:

We have to simplify the expression and have to count the number of terms that the expression has.

The expression is 4y - 6 + y² - 9

= 4y + y² - 6 - 9

= y² + 4y - 15

Therefore, there are three terms in the simplified expression, one for y² term, another is y term and the constant term. (Answer)

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2 years ago
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What is the length of the hypotenuse? If necessary, round to the nearest tenth.
belka [17]

Answer:

C=5

Step-by-step explanation:

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2 years ago
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Find the determinant of the following matrix. [1 -2] [3 4]​
Andrew [12]

Answer:

10

Step-by-step explanation:

[1 -2]

[3 4]

We can obtain the determinant of the above matrix by doing the following:

Determinant =(1 × 4) – (3 × –2)

Determinant = 4 – – 6

Determinant = 4 + 6

Determinant = 10

Thus, the determinant of the above matrix is 10

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2 years ago
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